Find the value for β that makes cosβ = sin15 true.

Mathematics

1 answer:

Gemiola [76]3 years ago

8 0

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

$cos\beta =sin(15)$

sin(15) has a decimal answer that you will find on your calculator. Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal. When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle. You should get 75, which is Choice B.

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Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 5

Amanda [17]

Answer:

31.3%

Step-by-step explanation:

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us

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3 years ago

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